Related Experiment Video
Updated: May 20, 2026

Measuring Bone Remodeling and Recreating the Tumor-Bone Microenvironment Using Calvaria Co-culture and Histomorphometry
Published on: March 14, 2020
Continuum mixture models of biological growth and remodeling: past successes and future opportunities
1Department of Mechanical Engineering, Columbia University, New York, New York 10027, USA. ateshian@columbia.edu
Abstract:
Biological growth processes involve mass exchanges that increase, decrease, or replace material that constitutes cells, tissues, and organs. In most cases, such exchanges alter the structural makeup of the material and consequently affect associated mechanobiological responses to applied loads. Given that the type and extent of changes in structural integrity depend on the different constituents involved (e.g., particular cytoskeletal or extracellular matrix proteins), the continuum theory of mixtures is ideally suited to model the mechanics of growth and remodeling. The goal of this review is twofold: first, to highlight a few illustrative examples that show diverse applications of mixture theory to describe biological growth and/or remodeling; second, to identify some open problems in the fields of modeling soft-tissue growth and remodeling.
Related Concept Videos
Population Growth
Modeling with Differential Equations
Exponential Equations for Modeling Growth
Growth Models with Integration: Problem Solving
Multicompartment Models: Overview
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
Designing Growth Media for Bioreactors
